Timeline for About the restriction of a modular representation to a decomposition subgroup
Current License: CC BY-SA 4.0
5 events
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Mar 5, 2019 at 13:51 | history | edited | Olivier | CC BY-SA 4.0 |
Corrected typo
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Jul 8, 2014 at 18:22 | comment | added | Olivier | Ah! So the Weil-Deligne representation is not enough. Interesting. | |
Jul 8, 2014 at 6:44 | comment | added | David Loeffler | "In principle again, this describes completely $V(\rho_{f,p})$" -- not quite! You have to specify the filtration too. If $a_p$ is a non-unit then there is a unique possibility up to isomorphism. If $a_p$ is a unit, then there are two possibilities: the nontrivial filtration subspace can coincide with the non-unit Frobenius eigenspace, or it can be in general position, corresponding to the case where $\rho_{f, p}$ is a direct sum, or a non-split extension, of two characters. | |
Jul 8, 2014 at 6:02 | comment | added | Olivier | TL;DR David Loeffler's and Ricky's comments are spot on. | |
Jul 8, 2014 at 6:01 | history | answered | Olivier | CC BY-SA 3.0 |